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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 176, Number 3, Pages 408–416
DOI: https://doi.org/10.4213/tmf8529 (Mi tmf8529) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Faddeev eigenfunctions for two-dimensional Schrödinger operators via the Moutard transformation

I. A. Taimanova, S. P. Tsarevb

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (401 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf8529
Abstract: We demonstrate how the Moutard transformation of two-dimensional Schrödinger operators acts on the Faddeev eigenfunctions on the zero-energy level and present some explicitly computed examples of such eigenfunctions for smooth rapidly decaying potentials of operators with a nontrivial kernel and for deformed potentials corresponding to blowup solutions of the Novikov–Veselov equation.
Keywords: Schrödinger operator, Faddeev eigenfunction, Moutard transformation, scattering data.
Received: 11.03.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 176, Issue 3, Pages 1176–1183
DOI: https://doi.org/10.1007/s11232-013-0098-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Taimanov, S. P. Tsarev, “Faddeev eigenfunctions for two-dimensional Schrödinger operators via the Moutard transformation”, TMF, 176:3 (2013), 408–416; Theoret. and Math. Phys., 176:3 (2013), 1176–1183
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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